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Simplifying (8x + -7) + -3(14 + 1) = -30x + -2(x + 3) * s Reorder the terms: (-7 + 8x) + -3(14 + 1) = -30x + -2(x + 3) * s Remove parenthesis around (-7 + 8x) -7 + 8x + -3(14 + 1) = -30x + -2(x + 3) * s Combine like terms: 14 + 1 = 15 -7 + 8x + -3(15) = -30x + -2(x + 3) * s Multiply -3 * 15 -7 + 8x + -45 = -30x + -2(x + 3) * s Reorder the terms: -7 + -45 + 8x = -30x + -2(x + 3) * s Combine like terms: -7 + -45 = -52 -52 + 8x = -30x + -2(x + 3) * s Reorder the terms: -52 + 8x = -30x + -2(3 + x) * s Reorder the terms for easier multiplication: -52 + 8x = -30x + -2s(3 + x) -52 + 8x = -30x + (3 * -2s + x * -2s) -52 + 8x = -30x + (-6s + -2sx) Reorder the terms: -52 + 8x = -6s + -2sx + -30x Solving -52 + 8x = -6s + -2sx + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2sx' to each side of the equation. -52 + 2sx + 8x = -6s + -2sx + 2sx + -30x Combine like terms: -2sx + 2sx = 0 -52 + 2sx + 8x = -6s + 0 + -30x -52 + 2sx + 8x = -6s + -30x Add '30x' to each side of the equation. -52 + 2sx + 8x + 30x = -6s + -30x + 30x Combine like terms: 8x + 30x = 38x -52 + 2sx + 38x = -6s + -30x + 30x Combine like terms: -30x + 30x = 0 -52 + 2sx + 38x = -6s + 0 -52 + 2sx + 38x = -6s Add '52' to each side of the equation. -52 + 2sx + 52 + 38x = 52 + -6s Reorder the terms: -52 + 52 + 2sx + 38x = 52 + -6s Combine like terms: -52 + 52 = 0 0 + 2sx + 38x = 52 + -6s 2sx + 38x = 52 + -6s Reorder the terms: -52 + 6s + 2sx + 38x = 52 + -6s + -52 + 6s Reorder the terms: -52 + 6s + 2sx + 38x = 52 + -52 + -6s + 6s Combine like terms: 52 + -52 = 0 -52 + 6s + 2sx + 38x = 0 + -6s + 6s -52 + 6s + 2sx + 38x = -6s + 6s Combine like terms: -6s + 6s = 0 -52 + 6s + 2sx + 38x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-26 + 3s + sx + 19x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-26 + 3s + sx + 19x)' equal to zero and attempt to solve: Simplifying -26 + 3s + sx + 19x = 0 Solving -26 + 3s + sx + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 3s + sx + 26 + 19x = 0 + 26 Reorder the terms: -26 + 26 + 3s + sx + 19x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 3s + sx + 19x = 0 + 26 3s + sx + 19x = 0 + 26 Combine like terms: 0 + 26 = 26 3s + sx + 19x = 26 Add '-3s' to each side of the equation. 3s + sx + -3s + 19x = 26 + -3s Reorder the terms: 3s + -3s + sx + 19x = 26 + -3s Combine like terms: 3s + -3s = 0 0 + sx + 19x = 26 + -3s sx + 19x = 26 + -3s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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